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19932026
most citedThe role of artificial intelligence in achieving the Sustainable Development Goals

3.2k citations

Showing 2014 · math.OAShow all

5 papers · 2 filters

math.OA2014★ 2 cited

Spatial realisations of KMS states on the C*-algebras of higher-rank graphs

Astrid an Huef, Sooran Kang, Iain Raeburn

Several authors have recently been studying the equilibrium or KMS states on the Toeplitz algebras of finite higher-rank graphs. For graphs of rank one (that is, for ordinary direc…

math.OA2014★ 2 cited

KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space

Astrid an Huef, Marcelo Laca, Iain Raeburn +1

We study the KMS states of the C*-algebra of a strongly connected finite k-graph. We find that there is only one 1-parameter subgroup of the gauge action that can admit a KMS state…

math.OA2014★ 1 cited

Quantum Heisenberg Manifolds as Twisted Groupoid -Algebras

Sooran Kang, Alex Kumjian, Judith Packer

The quantum Heisenberg manifolds are noncommutive manifolds constructed by M. Rieffel as strict deformation quantizations of Heisenberg manifolds and have been studied by various a…

math.OA2014★ 19 cited

Purely infinite -algebras associated to étale groupoids

Jonathan Brown, Lisa Orloff Clark, Adam Sierakowski

Let be a Hausdorff, étale groupoid that is minimal and topologically principal. We show that is purely infinite simple if and only if all the nonzero positive elemen…

math.OA2014

KMS states on C*-algebras associated to local homeomorphisms

Zahra Afsar, Astrid an Huef, Iain Raeburn

For every Hilbert bimodule over a C*-algebra, there are natural gauge actions of the circle on the associated Toeplitz algebra and Cuntz-Pimsner algebra, and hence natural dynamics…